CN111924331A - A method and system for optimizing the structure of vertical brackets in the process of steel coil transportation and static placement - Google Patents
A method and system for optimizing the structure of vertical brackets in the process of steel coil transportation and static placement Download PDFInfo
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- 238000005452 bending Methods 0.000 claims description 224
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Abstract
本发明提供了一种用于钢卷运输及静置过程立托架结构优化方法及系统,方法包括:判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则“对所述立托架结构进行优化”;如果满足要求,则无需处理;判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则“对所述立托架结构进行优化”;如果立托架结构的中板承重满足要求,则无需处理。本发明结合立托架在不同承载情况下的受力及变形情况,以实现对钢卷运输及静置过程立托架结构薄弱部位进行优化。
The present invention provides a method and system for optimizing a vertical bracket structure in the process of steel coil transportation and static placement. The method includes: judging whether the side plate load-bearing of the vertical bracket structure meets the requirements; If the load-bearing of the side plates does not meet the requirements, "optimize the vertical bracket structure"; if the requirements are met, no processing is required; judge whether the load-bearing of the middle plate of the vertical bracket structure meets the requirements; if the middle plate of the vertical bracket structure bears the load If the requirements are not met, "optimize the vertical bracket structure"; if the load bearing of the middle plate of the vertical bracket structure meets the requirements, no treatment is required. The invention combines the stress and deformation of the vertical bracket under different load-bearing conditions, so as to realize the optimization of the weak part of the vertical bracket structure in the process of steel coil transportation and static placement.
Description
技术领域technical field
本发明涉及立托架结构优化技术领域,特别是涉及一种用于钢卷运输及静置过程立托架结构优化方法及系统。The invention relates to the technical field of vertical bracket structure optimization, in particular to a vertical bracket structure optimization method and system for steel coil transportation and stationary process.
背景技术Background technique
随着钢铁行业市场竞争的日益激烈,在钢卷产量逐年上升的同时,迫切要求提高钢卷运输、集装、堆放的质量与效率。立托架用于钢卷运输及静置过程,保护钢卷质量在物流运输过程中不受破坏。实木立托架作为单元承载的平台装置由面板和垫木拼接而成,垫木的数量和面板面积由货物的质量和面积决定。立托架的结构和尺寸设计不完善会出现托架弯曲、变形等破坏情况,从而导致企业经济损失和安全事故的发生,因此如何对运输及静置过程立托架结构进行优化成为本领域亟需解决的技术问题。With the increasingly fierce market competition in the steel industry, while the output of steel coils is increasing year by year, it is urgent to improve the quality and efficiency of steel coil transportation, containerization and stacking. The vertical bracket is used for steel coil transportation and stationary process to protect the steel coil quality from damage during logistics and transportation. As a platform device carried by a unit, the solid wood vertical bracket is composed of panels and skids. The number of skids and the area of the panels are determined by the quality and area of the goods. The imperfect structure and size design of the vertical bracket will cause damage such as bending and deformation of the bracket, which will lead to economic losses and safety accidents of the enterprise. Therefore, how to optimize the structure of the vertical bracket during transportation and standing has become an urgent problem in the field. technical issues to be resolved.
发明内容SUMMARY OF THE INVENTION
基于此,本发明的目的是提供一种用于钢卷运输及静置过程立托架结构优化方法及系统,以实现对钢卷运输及静置过程立托架结构进行优化。Based on this, the purpose of the present invention is to provide a method and system for optimizing the structure of vertical brackets in the process of steel coil transportation and stationary process, so as to realize the optimization of the vertical bracket structure in the process of steel coil transportation and stationary process.
为实现上述目的,本发明提供了一种用于钢卷运输及静置过程立托架结构优化方法,所述方法包括:In order to achieve the above object, the present invention provides a method for optimizing the structure of a vertical bracket in the process of steel coil transportation and standing, the method comprising:
步骤S1:判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则执行步骤S3;如果满足要求,则无需处理;Step S1: judging whether the load-bearing of the side plates of the vertical bracket structure meets the requirements; if the load-bearing of the side plates of the vertical bracket structure does not meet the requirements, step S3 is performed; if the requirements are met, no processing is required;
步骤S2:判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则执行步骤S3;如果立托架结构的中板承重满足要求,则无需处理;Step S2: judging whether the load-bearing of the middle plate of the vertical bracket structure meets the requirements; if the load-bearing of the middle plate of the vertical bracket structure does not meet the requirements, perform step S3; if the load-bearing of the middle plate of the vertical bracket structure meets the requirements, no processing is required;
步骤S3:对所述立托架结构进行优化。Step S3: Optimizing the vertical bracket structure.
可选地,所述步骤S1包括:Optionally, the step S1 includes:
将所述立托架结构的边板分成两个阶段;第一阶段为y∈(0,f2(xi)],第二阶段为其中,y表示钢卷的纵坐标,f2(xi)为根据划分区域确定的临界参数值,Lbc表示面板跨度;The side plate of the vertical bracket structure is divided into two stages; the first stage is y∈(0,f 2 (x i )], and the second stage is Among them, y represents the ordinate of the steel coil, f 2 (x i ) is the critical parameter value determined according to the divided area, and L bc represents the panel span;
确定第一阶段对应的最大弯应力和第二阶段对应的最大弯应力;Determine the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage;
选取所述第一阶段对应的最大弯应力和所述第二阶段对应的最大弯应力中的最大者作为第一待比较弯应力;Select the largest of the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage as the first bending stress to be compared;
判断所述第一待比较弯应力是否大于或等于面板静曲强度;如果所述第一待比较弯应力大于或等于面板静曲强度,则执行步骤S3;如果所述第一待比较弯应力小于面板静曲强度,则无需操作。Determine whether the first bending stress to be compared is greater than or equal to the static bending strength of the panel; if the first bending stress to be compared is greater than or equal to the static bending strength of the panel, perform step S3; if the first bending stress to be compared is less than Panel static bending strength, no operation is required.
可选地,所述步骤S1还包括:Optionally, the step S1 further includes:
计算第一阶段对应的最大压应力和第二阶段对应的最大压应力;Calculate the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage;
选取所述第一阶段对应的最大压应力和所述第二阶段对应的最大压应力中的最大者作为待比较压应力;Select the largest of the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage as the compressive stress to be compared;
判断所述待比较压应力是否大于或等于许用压应力,如果所述待比较压应力大于或等于许用压应力时,则执行步骤S3;如果所述待比较压应力小于许用压应力时,则无需处理。Judging whether the compressive stress to be compared is greater than or equal to the allowable compressive stress, if the compressive stress to be compared is greater than or equal to the allowable compressive stress, perform step S3; if the compressive stress to be compared is less than the allowable compressive stress , no processing is required.
可选地,所述步骤S2包括:Optionally, the step S2 includes:
根据对称原理将中板的四分之一部分在宽度方向上进行区域分割,分别获得第一区域、第二区域和第三区域;According to the principle of symmetry, a quarter of the middle plate is divided into regions in the width direction, and the first region, the second region and the third region are obtained respectively;
确定第一区域对应的最大弯应力、第二区域对应的最大弯应力和第三区域对应的最大弯应力;Determine the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region and the maximum bending stress corresponding to the third region;
选取所述第一区域对应的最大弯应力、所述第二区域对应的最大弯应力和所述第三区域对应的最大弯应力中的最大者作为第二待比较弯应力;Select the largest of the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region, and the maximum bending stress corresponding to the third region as the second bending stress to be compared;
判断所述第二待比较弯应力是否大于或等于面板静曲强度;如果所述第二待比较弯应力大于或等于面板静曲强度,则执行步骤S3;如果所述第二待比较弯应力小于面板静曲强度,则无需处理。Determine whether the second bending stress to be compared is greater than or equal to the static bending strength of the panel; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel, perform step S3; if the second bending stress to be compared is less than The static bending strength of the panel does not need to be processed.
可选地,所述步骤S3包括:Optionally, the step S3 includes:
对胶合板打捆带处进行涂胶密封,并将边板槽口和中板槽口由直角改为圆角;Glue and seal the plywood strapping, and change the edge plate notch and the middle plate notch from right angles to rounded corners;
对面板延伸边板设计护边,对超出垫脚部分进行封装,将封装后的护边用钉枪装配到中板上。Design the edge guard for the panel extension edge board, encapsulate the part beyond the foot, and assemble the packaged edge guard to the middle board with a nail gun.
本发明还提供一种用于钢卷运输及静置过程立托架结构优化系统,所述系统包括:The present invention also provides a system for optimizing the structure of a vertical bracket in the process of steel coil transportation and standing, the system comprising:
第一判断模块,用于判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则执行“优化模块”;如果满足要求,则无需处理;The first judgment module is used to judge whether the load-bearing of the side plates of the vertical bracket structure meets the requirements; if the load-bearing of the side plates of the vertical bracket structure does not meet the requirements, the "optimization module" is executed; if the requirements are met, no need deal with;
第二判断模块,用于判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则执行“优化模块”;如果立托架结构的中板承重满足要求,则无需处理;The second judgment module is used to judge whether the load-bearing of the middle plate of the vertical bracket structure meets the requirements; if the load-bearing of the middle plate of the vertical bracket structure does not meet the requirements, execute the "optimization module"; if the load-bearing of the middle plate of the vertical bracket structure meets the requirements request, no processing is required;
优化模块,用于对所述立托架结构进行优化。The optimization module is used for optimizing the vertical bracket structure.
可选地,所述第一判断模块包括:Optionally, the first judgment module includes:
将所述立托架结构的边板分成两个阶段;第一阶段为y∈(0,f2(xi)],第二阶段为其中,y表示钢卷的纵坐标,f2(xi)为根据划分区域确定的临界参数值,Lbc表示面板跨度;The side plate of the vertical bracket structure is divided into two stages; the first stage is y∈(0,f 2 (x i )], and the second stage is Among them, y represents the ordinate of the steel coil, f 2 (x i ) is the critical parameter value determined according to the divided area, and L bc represents the panel span;
第一最大弯应力确定单元,用于确定第一阶段对应的最大弯应力和第二阶段对应的最大弯应力;a first maximum bending stress determining unit, used for determining the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage;
第一待比较弯应力确定单元,用于选取所述第一阶段对应的最大弯应力和所述第二阶段对应的最大弯应力中的最大者作为第一待比较弯应力;a first to-be-compared bending stress determination unit, configured to select the largest of the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage as the first to-be-compared bending stress;
第一判断单元,用于判断所述第一待比较弯应力是否大于或等于面板静曲强度;如果所述第一待比较弯应力大于或等于面板静曲强度,则执行“优化模块”;如果所述第一待比较弯应力小于面板静曲强度,则无需操作。a first judging unit for judging whether the first bending stress to be compared is greater than or equal to the static bending strength of the panel; if the first bending stress to be compared is greater than or equal to the static bending strength of the panel, execute "optimization module"; if If the first bending stress to be compared is less than the static bending strength of the panel, no operation is required.
可选地,所述第一判断模块还包括:Optionally, the first judgment module further includes:
最大压应力确定单元,用于计算第一阶段对应的最大压应力和第二阶段对应的最大压应力;The maximum compressive stress determination unit is used to calculate the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage;
待比较压应力确定单元,用于选取所述第一阶段对应的最大压应力和所述第二阶段对应的最大压应力中的最大者作为待比较压应力;a unit for determining the compressive stress to be compared, configured to select the largest of the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage as the compressive stress to be compared;
第二判断单元,用于判断所述待比较压应力是否大于或等于许用压应力,如果所述待比较压应力大于或等于许用压应力时,则执行“优化模块”;如果所述待比较压应力小于许用压应力时,则无需处理。The second judging unit is used to judge whether the compressive stress to be compared is greater than or equal to the allowable compressive stress, if the compressive stress to be compared is greater than or equal to the allowable compressive stress, execute "optimization module"; When the comparative compressive stress is less than the allowable compressive stress, no treatment is required.
可选地,所述第二判断模块包括:Optionally, the second judgment module includes:
区域分割单元,用于根据对称原理将中板的四分之一部分在宽度方向上进行区域分割,分别获得第一区域、第二区域和第三区域;an area dividing unit, which is used to divide a quarter of the middle plate in the width direction according to the principle of symmetry, and obtain the first area, the second area and the third area respectively;
第二最大弯应力确定单元,用于确定第一区域对应的最大弯应力、第二区域对应的最大弯应力和第三区域对应的最大弯应力;a second maximum bending stress determining unit, configured to determine the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region, and the maximum bending stress corresponding to the third region;
第二待比较弯应力确定单元,用于选取所述第一区域对应的最大弯应力、所述第二区域对应的最大弯应力和所述第三区域对应的最大弯应力中的最大者作为第二待比较弯应力;The second to-be-compared bending stress determination unit is configured to select the largest of the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region and the maximum bending stress corresponding to the third region as the first Second, the bending stress is to be compared;
第三判断单元,用于判断所述第二待比较弯应力是否大于或等于面板静曲强度;如果所述第二待比较弯应力大于或等于面板静曲强度,则执行“优化模块”;如果所述第二待比较弯应力小于面板静曲强度,则无需处理。a third judging unit, configured to judge whether the second bending stress to be compared is greater than or equal to the static bending strength of the panel; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel, execute the "optimization module"; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel If the second bending stress to be compared is smaller than the static bending strength of the panel, no treatment is required.
可选地,所述优化模块包括:Optionally, the optimization module includes:
涂胶密封模块,用于对胶合板打捆带处进行涂胶密封,并将边板槽口和中板槽口由直角改为圆角;The glue sealing module is used to glue and seal the plywood strapping, and change the edge plate notch and the middle plate notch from right angles to rounded corners;
封装模块,用于对面板延伸边板设计护边,对超出垫脚部分进行封装,将封装后的护边用钉枪装配到中板上。The encapsulation module is used to design the edge protection for the panel extension edge plate, encapsulate the part beyond the feet, and assemble the packaged edge protection to the middle plate with a nail gun.
根据本发明提供的具体实施例,本发明公开了以下技术效果:According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:
本发明提供了一种用于钢卷运输及静置过程立托架结构优化方法及系统,方法包括:判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则“对所述立托架结构进行优化”;如果满足要求,则无需处理;判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则“对所述立托架结构进行优化”;如果立托架结构的中板承重满足要求,则无需处理。本发明结合立托架在不同承载情况下的受力及变形情况,以实现对钢卷运输及静置过程立托架结构薄弱部位进行优化。The present invention provides a method and system for optimizing a vertical bracket structure in the process of steel coil transportation and static placement. The method includes: judging whether the side plate load-bearing of the vertical bracket structure meets the requirements; If the load-bearing of the side plates does not meet the requirements, "optimize the vertical bracket structure"; if the requirements are met, no processing is required; judge whether the load-bearing of the middle plate of the vertical bracket structure meets the requirements; if the middle plate of the vertical bracket structure bears the load If the requirements are not met, "optimize the vertical bracket structure"; if the load bearing of the middle plate of the vertical bracket structure meets the requirements, no treatment is required. The invention combines the stress and deformation of the vertical bracket under different load-bearing conditions, so as to realize the optimization of the weak part of the vertical bracket structure in the process of steel coil transportation and static placement.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the accompanying drawings required in the embodiments will be briefly introduced below. Obviously, the drawings in the following description are only some of the present invention. In the embodiments, for those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative labor.
图1为本发明实施例用于钢卷运输及静置过程立托架结构优化方法流程图;Fig. 1 is the flow chart of the structure optimization method of the vertical bracket used in the steel coil transportation and the stationary process according to the embodiment of the present invention;
图2为本发明实施例立托架边板受力示意图;FIG. 2 is a schematic diagram of the stress on the side plate of the vertical bracket according to the embodiment of the present invention;
图3为本发明实施例边板受力模型示意图;3 is a schematic diagram of a side plate force model according to an embodiment of the present invention;
图4为本发明实施例边板受力简化示意图;FIG. 4 is a simplified schematic diagram of the stress on the side plate according to the embodiment of the present invention;
图5为本发明实施例立托架中板受力示意图;FIG. 5 is a schematic diagram of the stress on the middle plate of the vertical bracket according to the embodiment of the present invention;
图6为本发明实施例中板受力区域示意图;FIG. 6 is a schematic diagram of a plate stress region in an embodiment of the present invention;
图7为本发明实施例中板受力区域划分示意图;FIG. 7 is a schematic diagram of the division of the force-bearing area of a plate in an embodiment of the present invention;
图8为本发明实施例边板槽口处防开裂倒角;Fig. 8 is the anti-cracking chamfer at the notch of the side plate according to the embodiment of the present invention;
图9为本发明实施例中板槽口处防开裂倒角;Fig. 9 is the anti-cracking chamfer at the plate notch in the embodiment of the present invention;
图10为本发明实施例护边示意图;10 is a schematic diagram of an edge guard according to an embodiment of the present invention;
图11为本发明实施例护边中板装配示意图;FIG. 11 is a schematic diagram of the assembly of the edge guard middle plate according to the embodiment of the present invention;
图12为本发明实施例用于钢卷运输及静置过程立托架结构优化系统结构图。FIG. 12 is a structural diagram of a vertical bracket structure optimization system used for steel coil transportation and stationary process according to an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
本发明的目的是提供一种用于钢卷运输及静置过程立托架结构优化方法及系统,以实现对钢卷运输及静置过程立托架结构进行优化。The purpose of the present invention is to provide a method and system for optimizing the structure of vertical brackets in the process of steel coil transportation and stationary process, so as to realize the optimization of the vertical bracket structure in the process of steel coil transportation and stationary process.
为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合附图和具体实施方式对本发明作进一步详细的说明。In order to make the above objects, features and advantages of the present invention more clearly understood, the present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.
实施例1:Example 1:
如图1所示,本发明提供一种用于钢卷运输及静置过程立托架结构优化方法,所述方法包括:As shown in FIG. 1 , the present invention provides a method for optimizing the structure of a vertical bracket in the process of steel coil transportation and standing, the method comprising:
步骤S1:判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则执行步骤S3;如果满足要求,则无需处理。Step S1: Determine whether the load-bearing of the side plates of the vertical bracket structure meets the requirements; if the load-bearing of the side plates of the vertical bracket structure does not meet the requirements, step S3 is performed; if the requirements are satisfied, no processing is required.
步骤S2:判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则执行步骤S3;如果立托架结构的中板承重满足要求,则无需处理。Step S2: Determine whether the load bearing of the middle plate of the vertical bracket structure meets the requirements; if the load bearing of the middle plate of the vertical bracket structure does not meet the requirements, perform step S3; if the load bearing of the middle plate of the vertical bracket structure meets the requirements, no processing is required.
步骤S3:对所述立托架结构进行优化。Step S3: Optimizing the vertical bracket structure.
下面对各个步骤进行详细论述:Each step is discussed in detail below:
钢卷不产生偏置时,边板受力状况如图2,简化得到一个典型的简支梁的受力模型,如图3所示。由图3可知,钢卷不存在偏置状况时边板为对称结构,所以搭建受力模型时考虑边板结构的一半即可,如图4。When the coil is not biased, the stress condition of the side plate is shown in Figure 2, and a typical stress model of a simply supported beam is obtained by simplification, as shown in Figure 3. It can be seen from Figure 3 that the side plate is a symmetrical structure when the steel coil does not have an offset condition, so half of the side plate structure can be considered when building the force model, as shown in Figure 4.
所述步骤S1包括:The step S1 includes:
步骤S11:将所述立托架结构的边板分成两个阶段;第一阶段为y∈(0,f2(xi)],第二阶段为其中,y表示钢卷的纵坐标,f2(xi)为根据划分区域确定的临界参数值,Lbc表示面板跨度。Step S11: Divide the side plate of the vertical bracket structure into two stages; the first stage is y∈(0,f 2 (x i )], and the second stage is Among them, y represents the ordinate of the steel coil, f 2 ( xi ) is the critical parameter value determined according to the divided area, and L bc represents the panel span.
步骤S12:确定第一阶段对应的最大弯应力和第二阶段对应的最大弯应力;具体包括:Step S12: Determine the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage; specifically including:
步骤S121:确定第一阶段对应的最大弯应力,具体包括:Step S121: Determine the maximum bending stress corresponding to the first stage, which specifically includes:
钢卷不产生偏置时,构建钢卷的载荷分布模型,具体公式为:When the coil is not biased, the load distribution model of the coil is constructed, and the specific formula is:
其中,f1(x,y)表示钢卷的载荷分布模型,(x0,y0)表示钢卷当前坐标系下的圆心坐标,Rg表示钢卷外径,(x,y)表示钢卷的坐标。Among them, f 1 (x, y) represents the load distribution model of the steel coil, (x 0 , y 0 ) represents the circle center coordinates in the current coordinate system of the steel coil, R g represents the outer diameter of the steel coil, and (x, y) represents the steel coil The coordinates of the volume.
将载荷分布模型进行坐标变换,获得新的载荷分布模型f2(x)。The coordinate transformation of the load distribution model is performed to obtain a new load distribution model f 2 (x).
根据钢卷重量和面板受力总面积确定均布载荷,具体公式为:The uniform load is determined according to the weight of the steel coil and the total area of the panel. The specific formula is:
其中,qm表示均布载荷,MG表示钢卷重量,Sz表示面板受力总面积。Among them, q m represents the uniform load, MG represents the weight of the steel coil, and S z represents the total area of the panel.
根据所述均布载荷和所述新的载荷分布模型确定边板载荷分布值,具体公式为:The load distribution value of the side plate is determined according to the uniform load and the new load distribution model, and the specific formula is:
其中,F2(xi)表示选定划分区域的边板载荷分布值,qm表示均布载荷,xi表示划分区域内的横坐标值上限,Lbc表示面板跨度,f2(x)表示新的载荷分布模型。Among them, F 2 ( xi ) represents the load distribution value of the side plate in the selected divided area, q m represents the uniform load, xi represents the upper limit of the abscissa value in the divided area, L bc represents the panel span, f 2 (x) Represents the new load distribution model.
根据选定划分区域的边板载荷分布值确定第一阶段对应的最大弯应力,具体公式为:The maximum bending stress corresponding to the first stage is determined according to the load distribution value of the edge plate in the selected divided area. The specific formula is:
其中,W2i1(xi,y)表示第一阶段对应的弯矩,xi表示划分区域内的横坐标值上限,y表示钢卷的纵坐标,F2(xi)为选定划分区域的边板载荷分布值,σw1max表示第一阶段对应的最大弯应力,b表示面板等分宽度,h表示面板高度,f2(xi)为根据划分区域确定的临界参数值。Among them, W 2i1 (x i , y) represents the bending moment corresponding to the first stage, xi represents the upper limit of the abscissa value in the divided area, y represents the ordinate of the steel coil, and F 2 ( xi ) is the selected divided area The load distribution value of the side plate, σ w1max represents the maximum bending stress corresponding to the first stage, b represents the panel width, h represents the panel height, and f 2 ( xi ) is the critical parameter value determined according to the divided area.
步骤S122:确定第二阶段对应的最大弯应力,具体公式为:Step S122: Determine the maximum bending stress corresponding to the second stage, and the specific formula is:
其中,W2i2(xi,y)表示第二阶段对应的弯矩,y表示钢卷的纵坐标,xi表示划分区域内的横坐标值上限,F2(xi)表示选定划分区域的边板载荷分布值,qm表示均布载荷,b表示面板等分宽度,f2(xi)为根据划分区域确定的临界参数值,σw2max表示第二阶段对应的最大弯应力,Lbc表示面板跨度,h表示面板高度。Among them, W 2i2 (x i , y) represents the bending moment corresponding to the second stage, y represents the ordinate of the coil, xi represents the upper limit of the abscissa value in the divided area, and F 2 ( xi ) represents the selected divided area The load distribution value of the side plate, q m represents the uniform load, b represents the equal width of the panel, f 2 (x i ) is the critical parameter value determined according to the divided area, σ w2max represents the maximum bending stress corresponding to the second stage, L bc is the panel span and h is the panel height.
步骤S13:选取所述第一阶段对应的最大弯应力和所述第二阶段对应的最大弯应力中的最大者作为第一待比较弯应力。Step S13: Select the largest of the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage as the first bending stress to be compared.
步骤S14:判断所述第一待比较弯应力是否大于或等于面板静曲强度;如果所述第一待比较弯应力大于或等于面板静曲强度,则说明边板承重不满足要求,执行步骤S3;如果所述第一待比较弯应力小于面板静曲强度,则说明边板承重满足要求,无需操作。本发明中的面板静曲强度是根据面板的材质决定的。Step S14: Determine whether the first bending stress to be compared is greater than or equal to the static bending strength of the panel; if the first bending stress to be compared is greater than or equal to the static bending strength of the panel, it means that the load bearing of the side plate does not meet the requirements, and step S3 is executed ; If the first bending stress to be compared is less than the static bending strength of the panel, it means that the load-bearing of the side panel meets the requirements and no operation is required. The static bending strength of the panel in the present invention is determined according to the material of the panel.
步骤S15:计算第一阶段对应的最大压应力和第二阶段对应的最大压应力,具体公式:Step S15: Calculate the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage. The specific formula is:
步骤S151:计算第一阶段对应的最大压应力,具体公式为:Step S151: Calculate the maximum compressive stress corresponding to the first stage, and the specific formula is:
其中,σy1max表示第一阶段对应的最大压应力,x表示钢卷的横坐标,y表示钢卷的纵坐标,xi表示划分区域内的横坐标值上限,xi-1表示划分区域内的横坐标值下限,f2(xi)表示根据划分区域确定的临界参数值,qm表示均布载荷,b表示面板等分宽度,h表示面板高度,f(x,y)为钢卷最终轮廓曲线方程。Among them, σ y1max represents the maximum compressive stress corresponding to the first stage, x represents the abscissa of the steel coil, y represents the ordinate of the steel coil, xi represents the upper limit of the abscissa value in the divided area, and x i-1 represents the divided area. The lower limit of the abscissa value of , f 2 (x i ) represents the critical parameter value determined according to the divided area, q m represents the uniform load, b represents the panel width, h represents the panel height, f(x, y) is the steel coil The final contour curve equation.
步骤S152:计算第二阶段对应的最大压应力,具体公式为:Step S152: Calculate the maximum compressive stress corresponding to the second stage, and the specific formula is:
其中,σy2max表示第二阶段对应的最大压应力,x表示钢卷的横坐标,y表示钢卷的纵坐标,xi表示划分区域内的横坐标值上限,xi-1表示划分区域内的横坐标值下限,Lbc表示面板跨度,qm表示均布载荷,b表示面板等分宽度,h表示面板高度,f(x,y)为钢卷最终轮廓曲线方程。Among them, σ y2max represents the maximum compressive stress corresponding to the second stage, x represents the abscissa of the steel coil, y represents the ordinate of the steel coil, xi represents the upper limit of the abscissa value in the divided area, and x i-1 represents the divided area. The lower limit of the abscissa value of , L bc represents the panel span, q m represents the uniform load, b represents the equally divided width of the panel, h represents the height of the panel, and f(x, y) is the final profile curve equation of the steel coil.
步骤S16:选取所述第一阶段对应的最大压应力和所述第二阶段对应的最大压应力中的最大者作为待比较压应力。Step S16: Select the largest of the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage as the compressive stress to be compared.
步骤S17:判断所述待比较压应力是否大于或等于许用压应力,如果所述待比较压应力大于或等于许用压应力时,则说明边板承重不满足要求,执行步骤S3;如果所述待比较压应力小于许用压应力时,则说明边板承重满足要求,无需处理。Step S17: determine whether the compressive stress to be compared is greater than or equal to the allowable compressive stress, if the compressive stress to be compared is greater than or equal to the allowable compressive stress, it means that the load-bearing of the side plate does not meet the requirements, and step S3 is performed; When the compressive stress to be compared is less than the allowable compressive stress, it means that the load-bearing of the side plate meets the requirements and no treatment is required.
步骤S18:计算第一阶段对应的最大挠曲线方程,具体公式为:Step S18: Calculate the maximum deflection curve equation corresponding to the first stage, and the specific formula is:
其中,y1max表示第一阶段对应的最大挠曲线方程,y表示钢卷的纵坐标,xi表示划分区域内的横坐标值上限,qm表示均布载荷,f2(xi)为根据划分区域确定的临界参数值,Lbc表示面板跨度,E表示弹性模量,I表示惯性矩。Among them, y 1max represents the maximum deflection curve equation corresponding to the first stage, y represents the ordinate of the steel coil, xi represents the upper limit of the abscissa value in the divided area, q m represents the uniform load, and f 2 ( xi ) is the basis of The critical parameter value determined by dividing the area, L bc is the panel span, E is the elastic modulus, and I is the moment of inertia.
步骤S19:计算第二阶段对应的最大挠曲线方程,具体公式为:Step S19: Calculate the maximum deflection curve equation corresponding to the second stage, and the specific formula is:
其中,y2max表示第二阶段对应的最大挠曲线方程,y表示钢卷的纵坐标,xi表示划分区域内的横坐标值上限,qm表示均布载荷,Lbc表示面板跨度,E表示弹性模量,I表示惯性矩。Among them, y 2max represents the maximum deflection curve equation corresponding to the second stage, y represents the ordinate of the steel coil, xi represents the upper limit of the abscissa value in the divided area, q m represents the uniform load, L bc represents the panel span, E represents the The elastic modulus, I represents the moment of inertia.
立托架中板受力情况如图5所示,简化得到一个典型的简支梁的受力模型,在中板的宽度方向上区域分割分别分析,针对不同的部分进行模型的搭建,具体所述步骤S2包括:The force of the middle plate of the vertical bracket is shown in Figure 5. A typical force model of a simply supported beam is obtained by simplification. The regions are divided and analyzed separately in the width direction of the middle plate, and the model is built according to different parts. The step S2 includes:
步骤S21:根据对称原理将中板的四分之一部分在宽度方向上进行区域分割,分别获得第一区域、第二区域和第三区域;根据材料力学简支梁以及未与钢卷内径相切划分为第一区域,根据材料力学简支梁结合区域与钢卷内径相交划分为第二区域,根据材料力学存在悬臂结构的简支梁划分为第三区域,具体如图6所示。Step S21: According to the principle of symmetry, a quarter of the middle plate is divided into regions in the width direction to obtain the first region, the second region and the third region; The tangent is divided into the first area, according to the material mechanics, the simply supported beam combination area and the inner diameter of the coil are divided into the second area, and the simply supported beam with cantilever structure is divided into the third area according to the material mechanics, as shown in Figure 6.
在每个区域根据钢卷的曲线图进行坐标的重建如图7所示,具体步骤如下:The reconstruction of coordinates in each area according to the curve diagram of the steel coil is shown in Figure 7. The specific steps are as follows:
步骤S22:确定第一区域对应的最大弯应力、第二区域对应的最大弯应力和第三区域对应的最大弯应力;具体步骤为:Step S22: Determine the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region and the maximum bending stress corresponding to the third region; the specific steps are:
如图7中(a)所示,确定第一区域对应的最大弯应力,具体公式为:As shown in (a) of Figure 7, the maximum bending stress corresponding to the first region is determined, and the specific formula is:
其中,F31表示中板第一区域对应的分布载荷函数,qm表示均布载荷,Lbc表示面板跨度,rg表示钢卷内径,Lbk表示中板宽度,σw31max表示中板第一区域对应的最大弯应力,b表示面板等分宽度,h表示面板高度,x表示钢卷的横坐标。Among them, F 31 represents the distributed load function corresponding to the first area of the mid-plate, q m represents the uniform load, L bc represents the panel span, r g represents the inner diameter of the steel coil, L bk represents the mid-plate width, and σ w31max represents the mid-plate first The maximum bending stress corresponding to the area, b represents the width of the panel, h represents the height of the panel, and x represents the abscissa of the steel coil.
确定第一区域对应的最大挠度曲线方程,具体公式为:Determine the maximum deflection curve equation corresponding to the first region, and the specific formula is:
其中,y31max表示第一区域对应的最大挠度曲线方程,Lbc表示面板跨度,qm3表示中板第一区域坐标系下的再分配载荷,x表示钢卷的横坐标,E表示弹性模量,I表示惯性矩。Among them, y 31max represents the maximum deflection curve equation corresponding to the first area, L bc represents the panel span, q m3 represents the redistributed load in the coordinate system of the first area of the middle plate, x represents the abscissa of the steel coil, and E represents the elastic modulus , I is the moment of inertia.
如图7中(b)所示,确定第二区域对应的最大弯应力,具体公式为:As shown in (b) of Figure 7, the maximum bending stress corresponding to the second region is determined, and the specific formula is:
其中,yi表示特定情况下选取的纵坐标值,F32(yi)表示中板第二区域对应的分布载荷函数,qm表示均布载荷,f321(y)、f322(y)分别为内切弧线方程分程和外切弧线方程分程,σw32max表示中板第二区域对应的最大弯应力,Lbc表示面板跨度,qm4表示中板第二区域坐标系下的的再分配载荷,x表示钢卷的横坐标,y表示钢卷的纵坐标,dy表示纵坐标的微分,b表示面板等分宽度,h表示面板高度。Among them, y i represents the ordinate value selected in a specific situation, F 32 (y i ) represents the distributed load function corresponding to the second area of the middle plate, q m represents the uniform load, f 321 (y), f 322 (y) are the split range of the inscribed arc equation and the split range of the circumscribed arc equation, respectively, σ w32max represents the maximum bending stress corresponding to the second area of the mid-slab, L bc represents the panel span, q m4 represents the coordinate system of the second area of the mid-slab The redistributed load of , x represents the abscissa of the steel coil, y represents the ordinate of the steel coil, dy represents the differential of the ordinate, b represents the width of the panel, and h represents the height of the panel.
确定第二区域对应的最大挠度曲线方程,具体公式为:Determine the maximum deflection curve equation corresponding to the second region, and the specific formula is:
其中,y32max表示第二区域对应的最大挠度曲线方程,Lbc表示面板跨度,qm4表示中板第二区域坐标系下的再分配载荷,x表示钢卷的横坐标,E表示弹性模量,I表示惯性矩,L表示胶合板跨度。Among them, y 32max represents the maximum deflection curve equation corresponding to the second area, L bc represents the panel span, q m4 represents the redistributed load in the coordinate system of the second area of the middle plate, x represents the abscissa of the steel coil, and E represents the elastic modulus , I is the moment of inertia, and L is the plywood span.
如图7中(c)所示,确定第三区域对应的最大弯应力,具体公式为:As shown in (c) of Figure 7, the maximum bending stress corresponding to the third region is determined, and the specific formula is:
其中,yi表示特定情况下选取的纵坐标值,F33(yi)表示中板第三区域对应的分布载荷函数,qm表示均布载荷,x表示钢卷的横坐标,y表示钢卷的纵坐标,rg表示钢卷内径,Rg表示钢卷外径,W33i1(x,yi)表示坐标变换新坐标下的第三区域简支梁悬臂处的弯矩,R表示钢卷半径,Lbc表示面板跨度,W33i2表示坐标变换新坐标下的第三区域简支梁内侧的弯矩,qm5表示中板第三区域坐标系下的再分配载荷,σw33max表示中板第三区域对应的最大弯应力,与最大弯矩对应,b表示面板等分宽度,h表示面板高度。Among them, y i represents the ordinate value selected in a specific case, F 33 (y i ) represents the distributed load function corresponding to the third area of the middle plate, q m represents the uniform load, x represents the abscissa of the steel coil, and y represents the steel coil The ordinate of the coil, r g is the inner diameter of the steel coil, R g is the outer diameter of the steel coil, W 33i1 (x, y i ) is the bending moment at the cantilever of the simply supported beam in the third region under the new coordinates of the coordinate transformation, and R is the steel coil roll radius, L bc represents the panel span, W 33i2 represents the bending moment inside the simply supported beam in the third area under the new coordinates of the coordinate transformation, q m5 represents the redistributed load in the third area coordinate system of the mid-slab, σ w33max represents the mid-slab The maximum bending stress corresponding to the third region corresponds to the maximum bending moment, b is the panel width, and h is the panel height.
确定第三区域对应的最大挠度曲线方程,具体公式为:Determine the maximum deflection curve equation corresponding to the third region, and the specific formula is:
其中,y33max表示第三区域对应的最大挠度曲线方程,Lbc表示面板跨度,qm5表示中板第三区域坐标系下的再分配载荷,x表示钢卷的横坐标,a表示中板超过垫木中线长度,E表示弹性模量,I表示惯性矩。Among them, y 33max represents the maximum deflection curve equation corresponding to the third area, L bc represents the panel span, q m5 represents the redistributed load in the third area coordinate system of the mid-plate, x represents the abscissa of the steel coil, and a represents the mid-plate exceeding the The length of the midline of the skid, E is the elastic modulus, and I is the moment of inertia.
步骤S23:选取所述第一区域对应的最大弯应力、所述第二区域对应的最大弯应力和所述第三区域对应的最大弯应力中的最大者作为第二待比较弯应力。Step S23: Select the largest of the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region, and the maximum bending stress corresponding to the third region as the second bending stress to be compared.
步骤S24:判断所述第二待比较弯应力是否大于或等于面板静曲强度;如果所述第二待比较弯应力大于或等于面板静曲强度,则说明边板承重不满足要求,执行步骤S3;如果所述第二待比较弯应力小于面板静曲强度,则说明边板承重满足要求,无需处理。Step S24: Determine whether the second bending stress to be compared is greater than or equal to the static bending strength of the panel; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel, it means that the load bearing of the side plate does not meet the requirements, and step S3 is executed ; If the second bending stress to be compared is less than the static bending strength of the panel, it means that the load-bearing of the side panel meets the requirements and no treatment is required.
通过对边板和中板的承载计算为防止由于胶合板开裂造成的胶合板使用性能的降低,从结构弱点及加工工艺提出改进意见,具体步骤S3包括:In order to prevent the reduction of the performance of the plywood caused by the cracking of the plywood through the calculation of the load-bearing of the side plate and the middle plate, suggestions for improvement are put forward from the structural weaknesses and processing technology. The specific step S3 includes:
步骤S31:对胶合板打捆带处进行涂胶密封,并将边板槽口和中板槽口由直角改为圆角,防止胶合板在打捆带时及辊道运输时产生碰撞造成胶合板开裂,具体如图8和图9所示。Step S31: Apply glue to seal the plywood strapping belt, and change the edge plate notch and the middle plate notch from right angles to rounded corners, so as to prevent the plywood from colliding with the baling belt and during transportation on the roller table and causing the plywood to crack, Specifically, as shown in Figure 8 and Figure 9 .
步骤S32:对面板延伸边板设计护边,对超出垫脚部分进行封装,将封装后的护边用钉枪装配到中板上,护边的厚度为1mm,如图10和图11所示。Step S32 : Design edge guards for the panel extension edge plates, encapsulate the parts beyond the feet, and assemble the encapsulated edge guards to the middle plate with a nail gun. The thickness of the edge guards is 1 mm, as shown in Figures 10 and 11 .
实施例2:Example 2:
如图12所示,本发明还提供一种用于钢卷运输及静置过程立托架结构优化系统,所述系统包括:As shown in FIG. 12 , the present invention also provides a system for optimizing the structure of vertical brackets in the process of steel coil transportation and standing, the system comprising:
第一判断模块1,用于判断所述立托架结构的边板承重是否满足要求;如果所述立托架结构的边板承重不满足要求,则执行“优化模块”;如果满足要求,则无需处理。The
第二判断模块2,用于判断立托架结构的中板承重是否满足要求;如果立托架结构的中板承重不满足要求,则执行“优化模块”;如果立托架结构的中板承重满足要求,则无需处理。The
优化模块3,用于对所述立托架结构进行优化。The
作为一种实施方式,本发明所述第一判断模块1包括:As an embodiment, the
将所述立托架结构的边板分成两个阶段;第一阶段为y∈(0,f2(xi,y)],第二阶段为其中,y表示钢卷的纵坐标,f2(xi)为根据划分区域确定的临界参数值,Lbc表示面板跨度。The side plate of the vertical bracket structure is divided into two stages; the first stage is y∈(0,f 2 (x i ,y)], and the second stage is Among them, y represents the ordinate of the steel coil, f 2 ( xi ) is the critical parameter value determined according to the divided area, and L bc represents the panel span.
第一最大弯应力确定单元,用于确定第一阶段对应的最大弯应力和第二阶段对应的最大弯应力。The first maximum bending stress determining unit is used for determining the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage.
第一待比较弯应力确定单元,用于选取所述第一阶段对应的最大弯应力和所述第二阶段对应的最大弯应力中的最大者作为第一待比较弯应力。The first to-be-compared bending stress determination unit is configured to select the largest of the maximum bending stress corresponding to the first stage and the maximum bending stress corresponding to the second stage as the first to-be-compared bending stress.
第一判断单元,用于判断所述第一待比较弯应力是否大于或等于面板静曲强度;如果所述第一待比较弯应力大于或等于面板静曲强度,则执行“优化模块”;如果所述第一待比较弯应力小于面板静曲强度,则无需操作。a first judging unit for judging whether the first bending stress to be compared is greater than or equal to the static bending strength of the panel; if the first bending stress to be compared is greater than or equal to the static bending strength of the panel, execute the "optimization module"; if the first bending stress to be compared is greater than or equal to the static bending strength of the panel If the first bending stress to be compared is less than the static bending strength of the panel, no operation is required.
作为一种实施方式,本发明所述第一判断模块1还包括:As an embodiment, the
最大压应力确定单元,用于计算第一阶段对应的最大压应力和第二阶段对应的最大压应力。The maximum compressive stress determination unit is used to calculate the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage.
待比较压应力确定单元,用于选取所述第一阶段对应的最大压应力和所述第二阶段对应的最大压应力中的最大者作为待比较压应力。The unit for determining the compressive stress to be compared is configured to select the largest of the maximum compressive stress corresponding to the first stage and the maximum compressive stress corresponding to the second stage as the compressive stress to be compared.
第二判断单元,用于判断所述待比较压应力是否大于或等于许用压应力,如果所述待比较压应力大于或等于许用压应力时,则执行“优化模块”;如果所述待比较压应力小于许用压应力时,则无需处理。The second judging unit is used to judge whether the compressive stress to be compared is greater than or equal to the allowable compressive stress, if the compressive stress to be compared is greater than or equal to the allowable compressive stress, execute "optimization module"; When the comparative compressive stress is less than the allowable compressive stress, no treatment is required.
作为一种实施方式,本发明所述第二判断模块2包括:As an embodiment, the
区域分割单元,用于根据对称原理将中板的四分之一部分在宽度方向上进行区域分割,分别获得第一区域、第二区域和第三区域。The area dividing unit is used for dividing a quarter of the middle plate in the width direction according to the principle of symmetry, to obtain the first area, the second area and the third area respectively.
第二最大弯应力确定单元,用于确定第一区域对应的最大弯应力、第二区域对应的最大弯应力和第三区域对应的最大弯应力。The second maximum bending stress determining unit is configured to determine the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region, and the maximum bending stress corresponding to the third region.
第二待比较弯应力确定单元,用于选取所述第一区域对应的最大弯应力、所述第二区域对应的最大弯应力和所述第三区域对应的最大弯应力中的最大者作为第二待比较弯应力。The second to-be-compared bending stress determination unit is configured to select the largest of the maximum bending stress corresponding to the first region, the maximum bending stress corresponding to the second region and the maximum bending stress corresponding to the third region as the first Second, the bending stress is to be compared.
第三判断单元,用于判断所述第二待比较弯应力是否大于或等于面板静曲强度;如果所述第二待比较弯应力大于或等于面板静曲强度,则执行“优化模块”;如果所述第二待比较弯应力小于面板静曲强度,则无需处理。a third judging unit, configured to judge whether the second bending stress to be compared is greater than or equal to the static bending strength of the panel; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel, execute the "optimization module"; if the second bending stress to be compared is greater than or equal to the static bending strength of the panel If the second bending stress to be compared is smaller than the static bending strength of the panel, no treatment is required.
作为一种实施方式,本发明所述优化模块3包括:As an embodiment, the
涂胶密封模块,用于对胶合板打捆带处进行涂胶密封,并将边板槽口和中板槽口由直角改为圆角。The glue sealing module is used to glue and seal the plywood strapping, and change the edge plate notch and the middle plate notch from right angle to rounded.
封装模块,用于对面板延伸边板设计护边,对超出垫脚部分进行封装,将封装后的护边用钉枪装配到中板上。The encapsulation module is used to design the edge protection for the panel extension edge plate, encapsulate the part beyond the feet, and assemble the packaged edge protection to the middle plate with a nail gun.
实施例3:Example 3:
选用立托架规格为D1000:The specification of the vertical bracket is D1000:
在步骤S1中,对立托架面板的边板进行受力分析,建立承重模型。In step S1, force analysis is performed on the side plate of the vertical bracket panel, and a load-bearing model is established.
1、钢卷受力分布模型表示为:f1(x,y)=(x-x0)2+(y-y0)2-4502,此时取三点(0,450)、(283,350)、(126,432),以点(385,350)为原点,以原y轴为x轴,以原x轴负方向为y轴建立新坐标系。三点坐标变为(100,385)、(0,102)、(82,259),计算新的载荷分布模型f2(x)=ax2+bx+c,解c=102,822a+82b+c=259,1002a+100b+c=385,得a=0.05,b=-2.17,c=102,新的钢卷载荷分布方程为f2(x)=0.05x2-2.17x+102。1. The force distribution model of the coil is expressed as: f 1 (x,y)=(xx 0 ) 2 +(yy 0 ) 2 -450 2 , at this time, take three points (0,450), (283,350), (126,432) , with the point (385,350) as the origin, the original y-axis as the x-axis, and the negative direction of the original x-axis as the y-axis to establish a new coordinate system. The coordinates of the three points become (100,385), (0,102), (82,259), and a new load distribution model f 2 (x)=ax 2 +bx+c is calculated, and the solution is c=102,82 2 a+82b+c=259,100 2 a+100b+c=385, a=0.05, b=-2.17, c=102, the new coil load distribution equation is f 2 (x)=0.05x 2 -2.17x+102.
2、由面板受力总面积Sz=517748mm2、钢卷重量MG=10000kg得其均布载荷将边板进行10等分因此dx=10,故b=10mm、面板高度h=30mm,面板的惯性矩面板跨度Lbc=770mm。边板载荷为带入参数得 2. The uniform load is obtained from the total force area of the panel S z = 517748mm 2 and the weight of the steel coil M G = 10000kg Divide the side plate into 10 equal parts, so dx=10, so b=10mm, panel height h=30mm, the moment of inertia of the panel Panel span L bc =770mm. The side plate load is Bring in parameters
3、面板所受弯矩分为两个阶段,第一个阶段为y∈(0,f2(xi)]对应的弯矩W2i1=F2(10)·y=1600·y;第二个阶段为对应的弯矩弯应力为当y=385mm时由国家标准《GBT17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时最大弯应力已超过面板静曲强度,即最大弯应力已超过胶合板的承受极限,因此需要进行对立托架结构进行优化。3. The bending moment of the panel is divided into two stages, the first stage is the bending moment W 2i1 =F 2 (10)·y=1600·y corresponding to y∈(0,f 2 (x i )]; The two stages are corresponding bending moment The bending stress is When y=385mm According to the national standard "GBT17656-2008", the static bending strength of the plywood under the horizontal grain is [σ]=35MPa. At this time, the maximum bending stress has exceeded the static bending strength of the panel, that is, the maximum bending stress has exceeded the bearing limit of the plywood, so it is necessary to carry out Optimizing the vertical bracket structure.
4、极限挠度值为弹性模量E=4000MPa、qm的再分配载荷带入参数得极限挠度值 4. The limit deflection value is Elastic modulus E = 4000MPa, redistribution load of q m Bring in the parameters to get the limit deflection value
5、假设面板承受均布载荷,边板的最大弯应力超过胶合板的应力极限,边板中部的理论变形量达到0.2785mm,因此胶合板在使用的过程中不易产生损坏。而且在实际使用时,只当钢卷放置在托架的一瞬间托架才承受均布载荷。5. Assuming that the panel bears a uniform load, the maximum bending stress of the side panel exceeds the stress limit of the plywood, and the theoretical deformation in the middle of the side panel reaches 0.2785mm, so the plywood is not easy to be damaged during use. And in actual use, only when the steel coil is placed on the bracket will the bracket bear the uniform load.
6、根据面板挠度值,当面板产生变形之后,由于两边托架的支撑需要计算面板在上面承受的压应力。取三点(-270,360)、(-126,432)、(-103,438),相对于点(-450,450)坐标变为(12,103),(18,126)、(90,360),根据三点求解钢卷最终轮廓曲线方程:f2(x)=-0.0417x2+7.75x,将垫木在宽度方向进行10等分,长度方向上十等分边板压应力带入参数计算得最大压应力为: 6. According to the deflection value of the panel, when the panel is deformed, the compressive stress of the panel on it needs to be calculated due to the support of the brackets on both sides. Take three points (-270, 360), (-126, 432), (-103, 438), and the coordinates relative to the point (-450, 450) become (12, 103), (18, 126), (90, 360) ), solve the final contour curve equation of the steel coil according to three points: f 2 (x)=-0.0417x 2 +7.75x, divide the dunnage into 10 equal parts in the width direction, and ten equal parts in the length direction of the edge plate compressive stress The maximum compressive stress calculated by bringing in the parameters is:
由国家标准《GBT 17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时边板的最大压应力已超过胶合板的承受极限,因此需要进行对立托架结构进行优化。According to the national standard "GBT 17656-2008", the static bending strength of the plywood under the horizontal grain is [σ]=35MPa. At this time, the maximum compressive stress of the side plate has exceeded the bearing limit of the plywood, so it is necessary to optimize the vertical bracket structure.
在步骤S2中,对立托架面板的中板进行受力分析,建立承重模型。In step S2, force analysis is performed on the middle plate of the vertical bracket panel, and a load-bearing model is established.
1、由图7中(a)所示,将参数带入x=385mm、b=60mm、面板高度h=30mm,面板的惯性矩钢卷内径rg=200mm、中板宽度Lbk=260mm,分布载荷函数为弯应力为最大挠度值为计算得最大弯应力为最大挠度值为面板并不会产生实际的大量变形,但是面板的支撑失去实际作用,只有外力作用时面板产生破坏。1. As shown in (a) in Figure 7, the parameters are brought into x=385mm, b=60mm, panel height h=30mm, and the moment of inertia of the panel The inner diameter of the steel coil r g = 200mm, the width of the middle plate L bk = 260mm, and the distributed load function is The bending stress is The maximum deflection value is Calculated The maximum bending stress is The maximum deflection value is The panel does not actually deform a lot, but the support of the panel loses its actual effect, and only the panel is damaged when external force acts.
2、由图7中(b)所示,外切弧线取三点(403,200)、(430,132)、(424,150)内切弧线取三点(0,200)、(150,132)、(120,160),以点(0,132)原点坐标变换为(403,68)、(430,0)、(424,18);(0,68)、(150,0)、(120,28)。可得外切弧线方程f321(y)=-0.0013y2-0.31y+430;f322(y)=-0.028y2-0.3y+150。故该区域载荷 最大弯应力为根据宽度将y进行10等分,因此y=61.2mm,x≈385mm,得最大挠度值为变形量超过胶合板的极限。2. As shown in (b) in Figure 7, three points (403, 200), (430, 132), (424, 150) are taken from the external tangent arc, and three points (0, 200), (150, 132), (120, 160) are taken from the internal tangent arc, and The origin coordinates of the point (0,132) are transformed into (403,68), (430,0), (424,18); (0,68), (150,0), (120,28). The circumscribed arc equation f 321 (y)=-0.0013y 2 -0.31y+430 can be obtained; f 322 (y)=-0.028y 2 -0.3y+150. Therefore, the area load The maximum bending stress is Divide y into 10 equal parts according to the width, so y=61.2mm, x≈385mm, we get The maximum deflection value is The amount of deformation exceeds the limit of plywood.
3、由图7中(c)所示,取三点(430,132)、(440,94)(450,0)相对于点(0,132)的坐标为(403,68)、(430,0)、(424,18),其弧线方程为 该区域分布载荷为将区域进行10等分此时参数为dy=13.2mm,x≈250mm,b=13.2mm,h=30mm,qm5=7.5N/mm2,a=65,因此可得:F33i1≈0.5679·250·13.2=1874N,弯矩为挠度值为计算得W33i2(x,yi)=202502.5N·mm2,最大弯应力为最大挠度值计算可得 3. As shown in (c) in Figure 7, the coordinates of the three points (430, 132), (440, 94) (450, 0) relative to the point (0, 132) are (403, 68), (430, 0), (424,18), its arc equation is The distributed load in this area is Divide the area into 10 equal parts. At this time, the parameters are dy=13.2mm, x≈250mm, b=13.2mm, h=30mm, q m5 =7.5N/mm 2 , a = 65, therefore: F 33i1 ≈0.5679·250·13.2=1874N, the bending moment is deflection value Calculated W 33i2 (x,y i )=202502.5N·mm 2 , the maximum bending stress is The maximum deflection value can be calculated
4、中板的最大弯应力均超过面板的极限。与钢卷接触的部位对其进行弯应力分析可知,最大部位的弯应力为中板部位:σw31max=556.5MPa,结合根据国家标准《GBT 17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时中板的所承受的最大弯应力已经超过胶合板静曲强度,因此需要对结构进行优化。4. The maximum bending stress of the middle plate exceeds the limit of the panel. The bending stress analysis of the part in contact with the steel coil shows that the bending stress of the largest part is the middle plate part: σ w31max = 556.5MPa. According to the national standard "GBT 17656-2008", the static bending strength of the plywood under the horizontal grain is [σ]=35MPa, at this time, the maximum bending stress of the middle plate has exceeded the static bending strength of the plywood, so the structure needs to be optimized.
在步骤S3中,为防止由于胶合板开裂造成的胶合板使用性能的降低,从结构弱点及加工工艺提出改进意见,包括以下具体步骤:In step S3, in order to prevent the reduction of the performance of the plywood caused by the cracking of the plywood, suggestions for improvement are proposed from the structural weaknesses and processing technology, including the following specific steps:
1、对胶合板打捆带处进行额外涂胶密封的基础上,将边板和中板槽口由直角改为圆角,防止胶合板在打捆带时及辊道运输时产生碰撞造成胶合板开裂。1. On the basis of additional gluing and sealing at the plywood strapping belt, the notches of the side plate and the middle plate are changed from right angles to rounded corners to prevent the plywood from colliding with the strapping belt and during roller transportation, which may cause the plywood to crack.
2、对面板延伸边板设计护边,对其超出垫脚部分进行封装,护边的厚度为1mm,将护边用钉枪装配到中板上,根据不同的规格尺寸,对护边进行加工设计。2. Design the edge guard for the extended edge plate of the panel, and encapsulate the part beyond the foot. The thickness of the edge guard is 1mm. The edge guard is assembled to the middle plate with a nail gun, and the edge guard is processed and designed according to different specifications and sizes. .
实施例2:Example 2:
选用立托架规格为D1300The vertical bracket specification is D1300
在步骤S1中,对立托架面板的边板进行受力分析,建立承重模型。In step S1, force analysis is performed on the side plate of the vertical bracket panel, and a load-bearing model is established.
1、钢卷受力分布模型表示为:f1(x,y)=(x-x0)2+(y-y0)2-4502,此时取三点(0,450)、(283,350)、(126,432),以点(505,350)为原点,以原y轴为x轴,以原x轴负方向为y轴建立新坐标系。三点坐标变为(100,505)、(0,222)、(82,379),计算f2(x)=ax2+bx+c,解c=222,822a+82b+c=379,1002a+100b+c=505,得a=0.051,b=-2.27,c=222,钢卷载荷分布方程为f2(x)=0.051x2-2.27x+222。1. The force distribution model of the coil is expressed as: f 1 (x,y)=(xx 0 ) 2 +(yy 0 ) 2 -450 2 , at this time, take three points (0,450), (283,350), (126,432) , with the point (505, 350) as the origin, the original y-axis as the x-axis, and the negative direction of the original x-axis as the y-axis to establish a new coordinate system. The coordinates of the three points become (100,505), (0,222), (82,379), calculate f 2 (x)=ax 2 +bx+c, and solve c=222, 82 2 a+82b+c=379, 100 2 a+ 100b+c=505, a=0.051, b=-2.27, c=222, the coil load distribution equation is f 2 (x)=0.051x 2 -2.27x+222.
2、由面板受力总面积Sz=818409mm2、钢卷重量MG=12000kg得其均布载荷将边板进行10等分因此dx=10,故b=10mm、面板高度h=30mm,面板的惯性矩面板跨度Lbc=1010mm。边板载荷为带入参数得 2. The uniform load is obtained from the total force area of the panel S z = 818409mm 2 and the weight of the steel coil M G = 12000kg Divide the side plate into 10 equal parts, so dx=10, so b=10mm, panel height h=30mm, the moment of inertia of the panel Panel span L bc = 1010 mm. The side plate load is Bring in parameters
3、面板所受弯矩分为两个阶段,第一个阶段为y∈(0,f2(xi)]对应的弯矩W2i1=F2·y=1269·y;第二个阶段为对应的弯矩弯应力为当时,最大弯应力为:由国家标准《GBT 17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时最大弯应力已超过面板静曲强度,即最大弯应力已超过胶合板的承受极限。因此需要进行对立托架结构进行优化。3. The bending moment of the panel is divided into two stages. The first stage is the bending moment corresponding to y∈(0,f 2 (x i )] W 2i1 =F 2 ·y=1269·y; the second stage for corresponding bending moment The bending stress is when , the maximum bending stress is: According to the national standard "GBT 17656-2008", the static bending strength of plywood under the horizontal grain is [σ]=35MPa, at this time the maximum bending stress has exceeded the static bending strength of the panel, that is, the maximum bending stress has exceeded the bearing limit of the plywood. Therefore, it is necessary to optimize the vertical bracket structure.
4、极限挠度值为弹性模量E=4000MPa、qm的再分配载荷带入参数得极限挠度值 4. The limit deflection value is Elastic modulus E = 4000MPa, redistribution load of q m Bring in the parameters to get the limit deflection value
5、假设面板承受均布载荷,边板的局部最大弯曲应力超过胶合板的应力极限,边板中部的理论变形量达到0.477mm,因此胶合板在使用的过程中极不易产生损坏。而且在实际使用时,只有当钢卷放置在托架的一瞬间托架才承受均布载荷。5. Assuming that the panel bears a uniform load, the local maximum bending stress of the side panel exceeds the stress limit of the plywood, and the theoretical deformation in the middle of the side panel reaches 0.477mm, so the plywood is extremely difficult to be damaged during use. And in actual use, only when the steel coil is placed on the bracket will the bracket bear the uniform load.
6、根据面板挠度值,当面板产生变形之后,由于两边托架的支撑需要计算面板在上面承受的压应力。取三点(-270,360)、(-126,432)、(-103,438),相对于点(-450,450)坐标变为(12,103),(18,126)、(90,360),根据三点求解钢卷最终轮廓曲线方程:f2(x)=-0.0417x2+7.75x,将垫木在宽度方向进行10等分,长度方向上十等分边板压应力带如参数计算得最大压应力为: 6. According to the deflection value of the panel, when the panel is deformed, the compressive stress of the panel on it needs to be calculated due to the support of the brackets on both sides. Take three points (-270, 360), (-126, 432), (-103, 438), and the coordinates relative to the point (-450, 450) become (12, 103), (18, 126), (90, 360) ), solve the final contour curve equation of the steel coil according to three points: f 2 (x)=-0.0417x 2 +7.75x, divide the dunnage into 10 equal parts in the width direction, and ten equal parts in the length direction of the edge plate compressive stress The maximum compressive stress calculated with such parameters is:
由国家标准《GBT 17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时边板的最大压应力未超过胶合板的承受极限,因此无需要进行对立托架结构进行优化。According to the national standard "GBT 17656-2008", the static bending strength of the plywood under the horizontal grain is [σ]=35MPa. At this time, the maximum compressive stress of the side plate does not exceed the bearing limit of the plywood, so there is no need to optimize the vertical bracket structure. .
在步骤S2中,对立托架面板的中板进行受力分析,建立承重模型。In step S2, force analysis is performed on the middle plate of the vertical bracket panel, and a load-bearing model is established.
1、由图7中(a)所示,将参数带入x=385mm、b=60mm、面板高度h=30mm,面板的惯性矩钢卷内径rg=200mm、中板宽度Lbk=260mm,分布载荷函数为压应力为最大挠度值为计算得最大弯应力为最大挠度值为面板并不会产生实际的大量变形,但是面板的支撑失去实际作用,只有外力作用时面板产生破坏。1. As shown in (a) in Figure 7, the parameters are brought into x=385mm, b=60mm, panel height h=30mm, and the moment of inertia of the panel The inner diameter of the steel coil r g = 200mm, the width of the middle plate L bk = 260mm, and the distributed load function is The compressive stress is The maximum deflection value is Calculated The maximum bending stress is The maximum deflection value is The panel does not actually deform a lot, but the support of the panel loses its actual effect, and only the panel is damaged when external force acts.
2、由图7中(b)所示,外切弧线取三点(403,200)、(430,132)、(424,150)内切弧线取三点(0,200)、(150,132)、(120,160),以点(0,132)原点坐标变换为(403,68)、(430,0)、(424,18);(0,68)、(150,0)、(120,28)。可得外切弧线方程f321(x,y)=-0.0013y2-0.31y+430;f322(x,y)=-0.028y2-0.3y+150。故该区域载荷 最大弯应力为根据宽度将y进行10等分,因此y=61.2mm,x≈385mm,最大弯应力为:最大挠度值为变形量未超过胶合板的极限。2. As shown in (b) in Figure 7, three points (403, 200), (430, 132), (424, 150) are taken from the external tangent arc, and three points (0, 200), (150, 132), (120, 160) are taken from the internal tangent arc, and The origin coordinates of the point (0,132) are transformed into (403,68), (430,0), (424,18); (0,68), (150,0), (120,28). The circumscribed arc equation f 321 (x, y)=-0.0013y 2 -0.31y+430 can be obtained; f 322 (x, y)=-0.028y 2 -0.3y+150. Therefore, the area load The maximum bending stress is Divide y into 10 equal parts according to the width, so y=61.2mm, x≈385mm, and the maximum bending stress is: The maximum deflection value is The amount of deformation did not exceed the limit of the plywood.
3、由图7中(c)所示,取三点(430,132)、(440,94)(450,0)相对于点(0,132)的坐标为(403,68)、(430,0)、(424,18),其弧线方程为 该区域分布载荷为将区域进行10等分此时参数为dy=13.2mm,x≈185mm,b=13.2mm,h=30mm,a=65、qm5=5.7N/mm2因此可得:F331≈0.4311×250×13.2=1423N,弯矩为挠度值为计算得W33i2(x,yi)=157092.5N·mm2,最大弯应力为最大挠度值计算可得 3. As shown in (c) in Figure 7, the coordinates of the three points (430, 132), (440, 94) (450, 0) relative to the point (0, 132) are (403, 68), (430, 0), (424,18), its arc equation is The distributed load in this area is Divide the area into 10 equal parts. At this time, the parameters are dy=13.2mm, x≈185mm, b=13.2mm, h=30mm, a=65, q m5 =5.7N/mm 2 , therefore: F 331 ≈0.4311×250×13.2=1423N, the bending moment is deflection value Calculated W 33i2 (x,y i )=157092.5N·mm 2 , the maximum bending stress is The maximum deflection value can be calculated
4、中板的最大弯应力超过面板静曲强度的极限,由于钢卷为刚性体,载荷作用的瞬间面板变形较大地方使得面板失去取钢卷的支撑作用,此时面板与钢卷在中心处几乎不接触,但是一旦接触外力,面板极容易发生破碎。与钢卷接触的部位对其进行弯应力分析可知,最大部位的弯应力为中板部位:σw31max=726.83MPa,结合根据国家标准《GBT 17656-2008》,横纹下的胶合板静曲强度为[σ]=35MPa,此时中板所承受的最大弯应力已经超过胶合板静曲强度,因此需要对结构进行优化。4. The maximum bending stress of the middle plate exceeds the limit of the static bending strength of the panel. Since the steel coil is a rigid body, the panel will lose the support of the steel coil when the panel is deformed greatly at the moment of the load. At this time, the panel and the steel coil are in the center. There is almost no contact at all places, but once it comes into contact with external force, the panel is very easy to break. The bending stress analysis of the part in contact with the steel coil shows that the bending stress of the largest part is the middle plate part: σ w31max = 726.83MPa. Combined with the national standard "GBT 17656-2008", the static bending strength of the plywood under the horizontal grain is [σ]=35MPa, at this time, the maximum bending stress of the middle plate has exceeded the static bending strength of the plywood, so the structure needs to be optimized.
在步骤S3中,为防止由于胶合板开裂造成的胶合板使用性能的降低,从结构弱点及加工工艺提出改进意见,包括以下具体步骤:In step S3, in order to prevent the reduction of the performance of the plywood caused by the cracking of the plywood, suggestions for improvement are proposed from the structural weaknesses and processing technology, including the following specific steps:
1、对胶合板打捆带处进行额外涂胶密封的基础上,将边板和中板槽口由直角改为圆角,防止胶合板在打捆带时及辊道运输时产生碰撞造成胶合板开裂。1. On the basis of additional gluing and sealing at the plywood strapping belt, the notches of the side plate and the middle plate are changed from right angles to rounded corners to prevent the plywood from colliding with the strapping belt and during roller transportation, which may cause the plywood to crack.
2、对面板延伸边板设计护边,对其超出垫脚部分进行封装,护边的厚度为1mm,将护边用钉枪装配到中板上,根据不同的规格尺寸,对护边进行加工设计。2. Design the edge guard for the extended edge plate of the panel, and encapsulate the part beyond the foot. The thickness of the edge guard is 1mm. The edge guard is assembled to the middle plate with a nail gun, and the edge guard is processed and designed according to different specifications and sizes. .
本说明书中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments, and the same and similar parts between the various embodiments can be referred to each other.
本文中应用了具体个例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处。综上所述,本说明书内容不应理解为对本发明的限制。In this paper, specific examples are used to illustrate the principles and implementations of the present invention. The descriptions of the above embodiments are only used to help understand the methods and core ideas of the present invention; meanwhile, for those skilled in the art, according to the present invention There will be changes in the specific implementation and application scope. In conclusion, the contents of this specification should not be construed as limiting the present invention.
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